3-branes on spaces with R x S^2 x S^3 topology
Abstract
We study supergravity solutions representing D3-branes with transverse 6-space having R x S^2 x S^3 topology. We consider regular and fractional D3-branes on a natural one-parameter extensions of the standard Calabi-Yau metrics on the singular and resolved conifolds. After imposing a Z_2 identification on an angular coordinate these generalized "6-d conifolds" are nonsingular spaces. The backreaction of D3-branes creates a curvature singularity that coincides with a horizon. In the presence of fractional D3-branes the solutions are similar to the original ones in hep-th/0002159, hep-th/0010088: the metric has a naked repulson-type singularity located behind the radius where the 5-form flux vanishes. The semiclassical behavior of the Wilson loop suggests that the corresponding gauge theory duals are confining.
Keywords
Cite
@article{arxiv.hep-th/0101043,
title = {3-branes on spaces with R x S^2 x S^3 topology},
author = {L. A. Pando Zayas and A. A. Tseytlin},
journal= {arXiv preprint arXiv:hep-th/0101043},
year = {2009}
}
Comments
20 pages, latex, v2: a discussion of curvature singularities and 1-d system added in section 2